Microwave the water at HIGH until boiling in a 1 1/2 quart casserole, or use the conventional range to boil.
Add grits, butter, salt, and peppers to the water.
Cover with waxed paper.
Microwave at HIGH 5 minutes, stirring twice.
Stir some of the hot grits into the beaten eggs.
Stir in 1 cup of cheese and add egg-cheese mixture to grits.
Stir well to mix.
Microwave at HIGH 5 minutes.
Rotate dish 1/2 turn after 2 minutes.
Sprinkle the reserved 1/2 cup cheese on top of mixture.
Microwave at HIGH 2 minutes or until cheese melts.
Let stand 3 to 4 minutes before serving.